In reply to Beccainlondon:
You could try Osmotherley. Train to Northallerton then cab (or bus if you're lucky with timing) should get you there quickly and easily. Nice small village with B&Bs, 3 good pubs and walks from the door. You may be able to use the Moors Bus service to get you slightly further field once there (or do one way walks and bus back) - but I don't know if it runs mid-week.